Optimal Inventory Policies for a Stochastic Inventory Model with Capital Investment

Authors

  • Jhuma Bhowmick

DOI:

https://doi.org/10.33516/rb.v44i1.93-104p

Keywords:

Stochastic Demand, Random Yield, Random Lead Time, Logarithmic Investment Cost Function.

Abstract

In this paper, a continuous review stochastic inventory model is developed with random yield. The lead time demand and lead time both are considered as random variables and are assumed to follow normal distributions. Shortages occurring in the model are partially backlogged and the backorder rate is a nonlinear function of expected shortage amount. Backorder price discount is considered as a decision variable in this model. The advantages of capital investment are analyzed in the model for reducing the set-up cost and yield randomness. The optimal ordering policies are determined which minimize the expected total annual cost of the proposed model. The model is further illustrated with the help of numerical examples and graphs.

Downloads

Download data is not yet available.

Published

2018-04-01

How to Cite

Bhowmick, J. (2018). Optimal Inventory Policies for a Stochastic Inventory Model with Capital Investment. Research Bulletin, 44(1), 93–104. https://doi.org/10.33516/rb.v44i1.93-104p

Issue

Section

Articles

References

Erdem, A. S., Ozekici, S. (2002) Inventory models with random yield in a random environment, International Journal Production Economics 78: 239-253.

Gerchak Y. (1992) Order point/order quality models with random yield. International Journal Production Economics 26: 297–298.

Gerchak, Y., and Parlar, M. (1990) Yield variability, cost trade off and diversification in the EOQ model. Naval Research Logistics 37: 341–354.

Hofmann C (1998). Investments in modern production technology and the cash floworiented EPQ-model. 5 International Journal Production Economics 4: 193–206.

Kalro, A.H., Gohil, M.M. (1982) A lot size model with backlogging when the amount received is uncertain, International Journal of Production Research 20: 775-786.

Keren, B. (2009) The single period inventory problem: Extension to random yield from the perspective of the supply chain, Omega 37:801-810

Lin, L.C., Hou, K.L. (2005) An inventory system with investment to reduce yield variability and set-up cost, Journal of the Operational Research Society 56: 67–74.

Lin, H.J. (2013) Controlling lost sales rate for inventory system with partial backlogging defective items, Journal of Applied Science and Engineering 16: 441-451.

Ouyang, L.Y., Chen, C.K, Chang, H.C. (1999) Lead time and ordering cost reductions in continuous review inventory systems with partial backorders, Journal of the Operational Research Society 50: 1272–1279.

Pan, J.C.-H., Lo, M.C. Hsiao, Y.C. (2004) Optimal reorder point inventory models with variable lead time and backorder discount considerations, European Journal of Operational Research 158: 488–505.

Porteus, EL. (1986) Optimal lot sizing, process quality improvement and setup cost reduction. Operations Research 34: 137–144.

Silver, E. A. (1976) Establishing the reorder quantity when the amount received is uncertain, INFOR 14:32-39.

Vijayashree, M., Uthayakumar, R. (2016) An Optimizing integrated inventory model with investment for quality improvement and setup cost reduction, International Journal of Information Technology, Control and Automation 6: 1- 13.

Vijayashree, M., Uthayakumar, R. (2017) Stochastic demand and controllable lead time by reducing ordering cost and setup cost, Communications in Applied Analysis 21: 151-186.

Wang, Y., and Gerchak, Y. (1996) Periodic review production models with variable capacity, random yield, and uncertain demand. Management Sciences 42: 130–137.

Yang, S., Yang, J., and Malek, L. A. (2007) Sourcing with random yields and stochastic demand: A newsvendor approach, Computers and Operations Research. 34: 3682-3690.